Atkin-Lehner |
2+ 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
126350bn |
Isogeny class |
Conductor |
126350 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
9849600 |
Modular degree for the optimal curve |
Δ |
-1.7294043802843E+21 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- 5 3 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-18701492,31197719416] |
[a1,a2,a3,a4,a6] |
Generators |
[1227528:5387861:512] |
Generators of the group modulo torsion |
j |
-1147730823/2744 |
j-invariant |
L |
5.679861880481 |
L(r)(E,1)/r! |
Ω |
0.14955898274983 |
Real period |
R |
3.164783614924 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000112017 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126350dc1 126350dm1 |
Quadratic twists by: 5 -19 |